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151241440 = 25572101191
BaseRepresentation
bin10010000001111…
…00001011100000
3101112120212020211
421000330023200
5302204211230
623001343504
73514350100
oct1100741340
9345525224
10151241440
117840aa29
1242797b94
1325444c9c
141612d200
15d42742a
hex903c2e0

151241440 has 144 divisors (see below), whose sum is σ = 421956864. Its totient is φ = 51072000.

The previous prime is 151241437. The next prime is 151241443. The reversal of 151241440 is 44142151.

It is an interprime number because it is at equal distance from previous prime (151241437) and next prime (151241443).

It is a super-3 number, since 3×1512414403 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151241443) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 791745 + ... + 791935.

It is an arithmetic number, because the mean of its divisors is an integer number (2930256).

Almost surely, 2151241440 is an apocalyptic number.

151241440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151241440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210978432).

151241440 is an abundant number, since it is smaller than the sum of its proper divisors (270715424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

151241440 is a wasteful number, since it uses less digits than its factorization.

151241440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 151241440 is about 12298.0258578359. The cubic root of 151241440 is about 532.7910668932.

Adding to 151241440 its reverse (44142151), we get a palindrome (195383591).

The spelling of 151241440 in words is "one hundred fifty-one million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 101 112 140 160 191 196 202 224 245 280 382 392 404 490 505 560 707 764 784 808 955 980 1010 1120 1337 1414 1528 1568 1616 1910 1960 2020 2674 2828 3056 3232 3535 3820 3920 4040 4949 5348 5656 6112 6685 7070 7640 7840 8080 9359 9898 10696 11312 13370 14140 15280 16160 18718 19291 19796 21392 22624 24745 26740 28280 30560 37436 38582 39592 42784 46795 49490 53480 56560 74872 77164 79184 93590 96455 98980 106960 113120 135037 149744 154328 158368 187180 192910 197960 213920 270074 299488 308656 374360 385820 395920 540148 617312 675185 748720 771640 791840 945259 1080296 1350370 1497440 1543280 1890518 2160592 2700740 3086560 3781036 4321184 4726295 5401480 7562072 9452590 10802960 15124144 18905180 21605920 30248288 37810360 75620720 151241440